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144303240 = 23357116937
BaseRepresentation
bin10001001100111…
…10010010001000
3101001112100211110
420212132102020
5243420200430
622152530320
73401362104
oct1046362210
9331470743
10144303240
1174501184
12403b09a0
1323b85c43
1415244904
15ca067b0
hex899e488

144303240 has 64 divisors (see below), whose sum is σ = 439032960. Its totient is φ = 37936640.

The previous prime is 144303239. The next prime is 144303277. The reversal of 144303240 is 42303441.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52 + ... + 16988.

It is an arithmetic number, because the mean of its divisors is an integer number (6859890).

Almost surely, 2144303240 is an apocalyptic number.

144303240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144303240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219516480).

144303240 is an abundant number, since it is smaller than the sum of its proper divisors (294729720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

144303240 is a wasteful number, since it uses less digits than its factorization.

144303240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17022 (or 17018 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 144303240 is about 12012.6283551935. The cubic root of 144303240 is about 524.5159438544.

Adding to 144303240 its reverse (42303441), we get a palindrome (186606681).

The spelling of 144303240 in words is "one hundred forty-four million, three hundred three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 71 120 142 213 284 355 426 568 710 852 1065 1420 1704 2130 2840 4260 8520 16937 33874 50811 67748 84685 101622 135496 169370 203244 254055 338740 406488 508110 677480 1016220 1202527 2032440 2405054 3607581 4810108 6012635 7215162 9620216 12025270 14430324 18037905 24050540 28860648 36075810 48101080 72151620 144303240